What is the Least Common Multiple of 29148 and 29166?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29148 and 29166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29148 and 29166, than apply into the LCM equation.

GCF(29148,29166) = 6
LCM(29148,29166) = ( 29148 × 29166) / 6
LCM(29148,29166) = 850130568 / 6
LCM(29148,29166) = 141688428

Least Common Multiple (LCM) of 29148 and 29166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29148 and 29166. First we will calculate the prime factors of 29148 and 29166.

Prime Factorization of 29148

Prime Factorization of 29166

Now multiplying the highest exponent prime factors to calculate the LCM of 29148 and 29166.

LCM(29148,29166) = 2² × 3¹ × 7¹ × 347¹ × 4861¹
LCM(29148,29166) = 141688428